G-1 Dilations: Non-Rigid Transformations Notes

➢ What is a DILATION? ▪ A transformation that _____________ or ___________ the size of an object with respect to a fixed

point, called the ____________ of dilation, and a ____________ _____________, (k).

o Example of a DILATION of ∆𝐴𝐵𝐶

with the center of dilation at point O.

➢ DILATIONS on a graph (where the center of dilation is the origin)

*The Points*

A( 2 , 1 ) → A’ ( ____ , ____ )

B( 5, 1 ) → B’ ( ____ , ____ )

C( 3, 6 ) → C’ ( ____ , ____ )

➢ Finding the Scale Factor

General Rules for Dilations Centered at Origin

GENERAL RULE: (x, y) → ( ____ , ____ )

Enlargements: ___________ vs. Reductions: _____________

How to find the SCALE FACTOR: k = ---------------------

The SCALE FACTOR:

k = _____

RULE for this dilation:

____________________

Ex: Determine the scale factor and write a rule for each dilation. Is it an enlargement or reduction?

a) B)

➢ Performing a Dilation ▪ You will be given a rule OR a scale factor, and you will change the all points just like we did for our other

transformations.

Ex: Graph the image of triangle FDE after a dilation with a scale factor of 1/5.

Ex: Graph the image of quadrilateral NXSR under the dilation (x, y) → (𝟑

𝟐𝒙,

𝟑

𝟐𝒚).

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Intro the day before?